Oh definitely! I’ll admit that I don’t really do it for friends because we wouldn’t be seeing each other during the holidays anyway (and I’ve yet to get a full-time job), so we mostly only buy gifts for relatives. My dad’s side has a huge Christmas gathering every year with the entire extended family, and it’s gotten to the point that we now have two Christmas parties to split the gift openings across multiple days 
The way my family’s always done it is that my parents would be the ones actually buying the gifts. My bro and I wouldn’t normally go shopping with them. They wouldn’t necessarily be buying per individual—oftentimes they give one gift per couple, for example. Small kids and unmarried people are guaranteed individual gifts. Once my parents have bought them, then my bro and I would help with wrapping them and writing labels, saying it’s from the entire family.
Related to the previous point, we “categorize” what kind of gifts people get too sometimes. One time my parents bought L’Occitane holiday boxes for all the couples in their generation, so uncles and aunts. Interestingly enough, one of my aunts also bought a L’Occitane gift box that holiday in the exact same box! Except she only bought it for my mom
the contents were different too, bar soap and something else versus the lotions and other liquids my parents gave.
Or that time when we also gave an entire generation some really nice blankets. I forgot whether it was for my uncles and aunts or for my married cousins. We had a little trouble with that one because we found out that the bags we bought to put the blankets in were too small 
Oh and this isn’t necessarily a Christmas thing, but in Filipino culture we have this thing called pasalubong where those who live in or visit another country would buy souvenirs for their relatives when they return to the Philippines. More often than not, the gifts would be branded items like purses from fashion outlets rather than small trinkets. Sometimes they’d be food, too, if it’s not something that can be found in the Philippines.
My family brings pasalubong all the time since we live abroad. I grew up in Indonesia so my family would mostly bring stuff from there (including no less than six entire boxes of Indomie, or at least 480 packs of instant noodles), but now I’m here in the US so I get American stuff instead. And my bro’s in the UK now too 
The most iconic pasalubong moment would have to be that one summer a few years ago. I wanted to bring back a bunch of stuff and was in the middle of buying gifts for my relatives, but by the time I finished buying stuff for the women, I realized I wouldn’t have enough room in my luggage to pack gifts for the men. I still wanted to gift them something to make them not feel bad, then I saw the multiple cans of spam…
I gifted each male cousin a can of spam, while the female cousins got perfumes and similar goodies from brands like Victoria’s Secret or Bath and Body Works
and they never fail to bring it up. They joke that my gift was like a government disaster relief handout 

Don’t worry, I made up for it the following summer. I went to Ross Dress For Less and managed to snag a bunch of branded and heavily discounted men’s perfumes. I didn’t really get anything for the girls and told them that I didn’t have enough space in my luggage to get something for them that year ¯_(ツ)_/¯
If you’re wondering why I’m only talking about my dad’s side, that’s because my mom’s side is Muslim and doesn’t celebrate Christmas (:
Oh, and since I’ll be in the US for Christmas and not the Philippines, things will be rather different this year. I know I’m definitely getting my aunt a Christmas present but I’m not sure about what to gift the rest. Maybe some spa gift cards 